Keys of the Universe Mathematics - Materials Price List

Transcription

1 Keys of the Universe Mathematics - Materials Price List Caveats: This is not entirely a complete comparison, because both companies do not sell all the same materials. And you might purchase the least expensive of any given option at each one of them. I also have not calculated if you bought all available at one and filled in with the other. Consider this: some of this you will find cheaper used; or you can indeed make it yourself. Alison IFIT Keys/other I. Introduction Story of Numbers 8 Charts Printable II. Early Work - Numeration Wooden Hierarchical Material Large Bead Frame: Introduction Exercises I-IV Commutative & Distributive Laws Multiples Least Common Multiples Factors Last Steps of LCM to Abstraction Divisibility: by 2, 5, 25 wood materials number cards large bead frame frame paper nomial bead bar box number box** bead cabinet arrows in boxes Tables A, B, C, E pegboard & pegs thin strips of cardstock golden beads * $60** patterns/ideas hardware store golf tees Cabinet currently not listed on Alisons. III. Operations Long Multiplication Large Bead Frame Bank Game buy/make as set or make gray/colored to match golden bead cards size Flat Bead Frame cut own strips of paper Checker Board: Exercises 1 & 2 Geometrical Form of Multiplication Category Multiplication Long Division Distributive Division with Racks/Tubes Group Division Group Division & Word Problems w/ Fractions large bead frame Bank Game flat bead frame checkerboard bead bars Racks/Tubes Stamp Game circles fractions

2 IV. Squares and Cubes of Numbers Prerequisites to Squares and Cubes of Numbers Notation of Squares Notation of Cubes Games 1-3 Game 4: Decanomial Square Paper Decanomial Sums Using Squares and Cubes bead cabinet prepared labels bead bars division skittles () () V. Fractions Notes on Fraction Charts Introduction to Fractions Equivalence of Fractions Simple Operations Add & Subtract Fraction w/diff Denom Exercises Leading to Abstraction of Above Multiplication of a Fraction by a Fraction Division by a Fraction 21 charts fraction circles black strips prepared labels Add l pieces 1-10 Practice Problems green skittles prepared problems transparencies* division fraction skittles 125 w/stds w/stds VI. Decimal Fractions Quantity pull beads from racks/tubes Symbol Linked to Quantity Formation and Reading of Quantities Operations Conversion of Common Fractions to Decimal Effects of Mult/Div Numbers by Powers of 10 Multiply Decimal Fraction by Dec Fraction Introduction to the Decimal Checkerboard Decimal Checkerboard Relative Size of Terms in Mult Problem Relative Size of Numbers When Dividing Division of a Dec Fraction by a Dec Fraction Leading to Abstraction of Mult of Dec Frac Division of a Decimal Fraction on Paper decimal cubes #s bank game #s w/cubes propeller push-pin decimal board king symbol black frame felt squares Decimal Checkerboard Number Box Bead Bars * * Printable Black frame = Centesimal circle and Protractor - Alison s is green. Alison s sells decimal board with pieces for 55; IFIT sells them separate for 26 and 9.

3 VII. Squaring and Cubing Squaring Transformation of a Square, Ex 1-6 Passing From One Square to Another Squaring a Sum Squaring with a Hierarchical Value Cubing Passing From One Cube to Another Cubing a Binomial Cubing a Trinomial Cubing a Quadrinomial Cubing a Trinomial w/ Numerical Value The Story of the Three Kings Cubing a Number with Decimal Value Square Roots could use portion of pegboard Introduction to the Concept Exercises 1-4 Backtracking Passages to Abstraction Special Cases Recap of Square Roots Rule for the Extraction of Square Roots Cube Roots Concept Larger Numbers Exercise 1: Next Digit and Backtracking Exercise 2: 3-Digit Roots Exercise 3: Passage to Abstraction Recap of Cube Roots Rule for the Extraction of Cube Roots bead squares rubber bands paper square of 10 bead squares bead bars golden beads gold bead cards pegboard/pegs wood cube material + binomial cube prepared labels trinomial cube prepared labels hierarchical trinomial (aka algebraic/arithmetic) 3 Kings prep tickets Square roots board units from div tubes golden bead material hierarchical guides N Charts (2) box of 1cm cubes wood cube material cabinet cabinet cabinet cabinet

4 VIII. Other Topics Signed Numbers Negative Snake Game Operations Powers of Numbers Powers of 2 Powers of 3 Combination Of Powers of Two/Three Powers of 10 Operations Exponential Notation Expanded Power Notation Operations Using Expanded Power Other Number Bases Numeration (Introduction) Operations Conversion Ratio and Proportion Introduction to Ratio Problem Solving Using Ratio Ratios and Fractions More Problem-Solving with Ratios Proportion Word Problems Introduction to Word Problems Introductory Word Problems Distance/Velocity/Time: Sensorial Distance/Velocity/Time: Arith Level Distance/Velocity/Time: Algebraic Principal/Interest/Rate/Time: Sensorial Princ/Interest/Rate/Time: Arith/Alg Introduction to Algebra Introductory Algebra Balancing an Equation Solving for an Unknown in an Equation Algebra Word Problems Solving for Two Unknowns negative snake game power of 2 cube box 1cm cubes number box wood cube material Non-decimal base board gold beads bead cabinet receipt tape operation finger charts nomial bead bars number box cups Prepared envelopes w/ tickets prepared cards * * $ * * Printable I did not see the Negative Snake Game at Alison s. I did not see the 1cm cubes at IFIT. Draw the non-decimal bases on your posterboard or cardboard this is NOT the one available for sale!

5 Remedial Mathematics Introduction to Remediation Numbers 1-10 Decimal System Quantity Decimal System - Symbol Formation of Numbers with Beads and Cards Collective Exercises: Operations Memorization of Tables Teen Beads and Boards: Ten Beads and Boards: Final Notes on Remediation Bead bars if the child is not yet counting to 10 OR cannot yet write the numerals. Pull the bead bars from the Decanomial Bead Bar Box. (need for elementary) Golden beads (45 units and tens, 45 wooden hundreds and 9 wooden thousands) need for elementary anyway Teens and Tens boards (can be made on paper for the purposes of remediation), with beads from the Decanomial Bead Bar Box and golden units but if you have them for another primary child, then use the regular ones. Stamp Game (need for elementary Geometry materials: cabinet, solids, geometric solids need for elementary geometry Teens/Tens Boards: Teens/Tens Boards: s available soon Contents of Operations Box (also called Number Box or Box of Numbers): Gray number cards 1-9, 0 (at least 5 sets) White number cards 1-9, 0 (at least 5 sets) Operation symbols Decimal points Parenthesis 8 sets Blank tickets

6 Printable = available in the album or at Garden of Francis or at Keys online support = listed above use the same material Assume: graphite pencil, colored pencils, paper, graph paper in a variety of sizes, ruler Transparencies: could be laminating pouch sealed together; overhead transparency, page protector, etc. IFIT Notes: Golden beads: If you don t need the trays and cups, purchase the following: 9 Wooden Cubes: $24 45 Wood Hundreds: $26 45 Ten Bars: $11 45 Units: $1.50 (if you buy the bead cabinet material from here, pull a beaded cube and beaded hundred from the bead cabinet for needed presentations; otherwise, add 1 beaded cube and 1 beaded square beaded cube is $25; set of 9 beaded hundreds is $26). You ll need to add your choice of number cards as well; or cut your own cardstock and make your own. ( on Keys of the Universe) Alison Notes: With the golden beads, verify which decimal cards and sizes you are getting; consider printing your own. IFIT = $1791 Missing: Hierarchical material, 1cm cubes, decimal cards Alison = $ Missing: Negative Snake Game, golden beads, decimal cards, bead cabinet itself

7 PRIMARY OVERLAP Alisons IFIT Keys Large Bead Frame Decanomial bead bar box Bead cabinet, beads, arrows (paper) Division racks/tubes Stamp Game Circle Fractions Binomial Cube Trinomial Cube Negative Snake Game (use portions for Addition and Subtraction in primary) (beads) (arrows) (w/stds) (don t see it) (beads) 240 (display) (arrows) (w/stds) TOTAL TO <MAYBE> SUBTRACT $ $976.00

8 Mathematics Materials List Main Materials it is best to read the album page while preparing or purchasing the materials, so that details do not have to be repeated here and you can immediately see what each piece will be used for when considering alternates: Golden bead materials 45 units, 45 tens, 45 hundreds, 9 thousands (no more) Decanomial bead bar box (bars 1-10, 55 of each bar) o At-home: some presentations need just a few more bead bars you could make the 4-7 extra with pony beads or connected Legos o ideal for classes: add bead bar box of 1-10 with a smaller quantity Box of bead bars 1-9 (schools may want 2-5 of these; homes do not need it at all) Box of number cards: white set with 1-9, 0, gray set with same (3 copies of each #) o Could be same box with operation signs and dots for decimal points o Another section for blank tickets and pencil o Classrooms need 3+ boxes o Could store some parentheses in here o A tacklebox is ideal Prepared tickets for various operations 8 sets of parenthesis (cut from cardstock) 3 sets of small decimal system cards, , stored on a tray/basket 1 Pegboard (30 by 30 ideal; 25 x 30 if that is all that is available) Box of hierarchical pegs (green, red, blue could be cut down golf pegs) Tables A, B, C, E (on paper for children to use) Wooden hierarchical material and corresponding number cards (used in early work and in Powers of 10 later) this is the material that goes to millions Large bead frame o Large/long notation paper for the large bead frame Complete bead material (bead cabinet: long/short chains, squares, cubes, labels) Bank Game card material (colored background; black font NO beads) Checkerboard for Multiplication Flat bead frame Rulers in various styles Fraction circle insets (1-10) 1 Small decimal cards could be the same ones that the children used in primary; each number is stored together (all three ones together, all three twos together)

9 Stamp game Racks and Tubes (division) box labeled squares of numbers (usually homemade) Packet of 10 envelopes with the nomials representing the nomial square (homemade) box of extra fraction pieces (wholes through tenths equivalent of 10 wholes in each fraction on red material is best) 4 Cards with prepared fraction operations - simple (can repeat from primary) Fraction division skittles (whole, half, third, fourth) 2 transparencies: rectangular one with 4 rectangles (lines drawn long side to long side), one with 3 (lines drawn from short side to short side) - homemade Packets of prepared fraction labels 4 cards with more complex fractions operations (one for each operation) Black frame with marked around the inner circle (similar to Montessori protractor (geometry use) which is 0-360) felt 3 squares: green, red, blue, light green, pink, light blue Decimal Checkerboard Additional green unit skittles (if a classroom) Decimal Board (yellow board) Decimal Fraction material (cubes, number cards, black decimal points) Wooden cubing material wood cube of each number, with 27+ wood squares for each number 1-10 the beaded cubes cannot replace this material Binomial Cube Trinomial Cube set of prepared tickets in a box labeled (a+b) 3 (a+b+c) 3 2 sets of prepared tickets in box labeled Three Kings Printed paper square of 10 Square Root Pegboard (15 holes by 15 holes) N/N3 Chart Box of plain wood 1 cm cubes (could use set from geometry) Hierarchical Trinomial Cube Elementary Negative Snake Game (should include box of grey 10-bars) Power of Two Cube

10 An envelope marked "velocity" containing printed tickets An envelope marked "interest" containing printed tickets Non-Decimal Base Board - homemade 4 Arithmetic table finger charts (non-decimal bases) these are the working charts from the primary level a piece of card divided into twelve equal strips, with small cards: pick & shovel Other Materials: Large red felt mat (additional 10+ felt mats any color for classroom use) Large blank paper or posterboard for child-made charts Envelopes in varying sizes Sets of blank tickets in a container may need 2-3 for a classroom Paper/pencil, colored pencils Graph paper various sized squares from ¼ to 1 Long thin strips of cardboard (1/4 1/3 inch wide by about 11 inches long) Thin, narrow strips (2 inches by 11 inches long) Strips of paper (10.25 x 1.25 inches or so) Marker (such as a clear glass pebble or pretty stone or piece of glass) Index cards Additional transparencies for children to make their own fraction division pieces Small thin black strips (fraction lines) Symbol for a king (crown is ideal fits on the decimal board unit space) Container with colored rubber bands Colored discs (one each: green, blue, red) could pull from stamp game two plastic cups with a line of black tape or marker across each one Roll of adding machine tape Charts: History of mathematics charts Fraction charts (homemade) Other Resources to Have on Hand: for additional resources perfect for cosmic education Life of Fred books can be interesting to this age and into middle/high school Math Dictionary for Kids: The Essential Guide to Math Terms, Strategies, and Tables (straight-forward, no-nonsense, illustrated)